{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.8/site-packages/tqdm/auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(torch.Size([1000]), torch.Size([1000]))"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from fastkan import FastKANLayer\n",
    "\n",
    "d_in = 2\n",
    "d_out = 3\n",
    "\n",
    "layer = FastKANLayer(\n",
    "    d_in, d_out,\n",
    "    use_base_update=False,\n",
    "    use_layernorm=False\n",
    ")\n",
    "\n",
    "x, y = layer.plot_curve(0, 1, num_pts=1000, num_extrapolate_bins=3)\n",
    "x.shape, y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8defee13a0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "for i in range(d_in):\n",
    "    for j in range(d_out):\n",
    "        x, y = layer.plot_curve(i, j, 200, num_extrapolate_bins=3)\n",
    "        plt.plot(x.numpy(), y.numpy(), label=r\"$\\phi_{\" + f\"{i},{j}\" + r\"}$\")\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.ylabel(\"$\\phi_{p,q}(x)$\")\n",
    "plt.legend(loc=\"upper right\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
